(2) Draw the graph that R builds for 3-CNF formula (AV BVC) A (BVC V D). Compare your graph with the following answer and verify its correctness: B A C C B D

Database System Concepts
7th Edition
ISBN:9780078022159
Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Chapter1: Introduction
Section: Chapter Questions
Problem 1PE
icon
Related questions
Question

Let R be the reduction from 3-SAT to INDEPENDENT-SET as discussed in class.

**Exercise:**  
(2) Draw the graph that \( R \) builds for the 3-CNF formula \( (A \lor B \lor C) \land (B \lor C \lor D) \).

**Instructions:**  
Compare your graph with the following answer and verify its correctness:

**Graphs:**

1. **First Graph:**  
   - **Nodes:** A, B, C
   - **Connections:** 
     - A is connected to B
     - A is connected to C
     - B is connected to C  
   - This forms a triangle between the nodes A, B, and C.

2. **Second Graph:**  
   - **Nodes:** B, C, D
   - **Connections:** 
     - B is connected to C
     - B is connected to D
     - C is connected to D  
   - This forms a triangle between the nodes B, C, and D.

**Verification Options:**  
- Yes, the provided answer is correct.
- No, the provided answer is incorrect.
Transcribed Image Text:**Exercise:** (2) Draw the graph that \( R \) builds for the 3-CNF formula \( (A \lor B \lor C) \land (B \lor C \lor D) \). **Instructions:** Compare your graph with the following answer and verify its correctness: **Graphs:** 1. **First Graph:** - **Nodes:** A, B, C - **Connections:** - A is connected to B - A is connected to C - B is connected to C - This forms a triangle between the nodes A, B, and C. 2. **Second Graph:** - **Nodes:** B, C, D - **Connections:** - B is connected to C - B is connected to D - C is connected to D - This forms a triangle between the nodes B, C, and D. **Verification Options:** - Yes, the provided answer is correct. - No, the provided answer is incorrect.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 3 steps with 3 images

Blurred answer
Knowledge Booster
Maximum Flow
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, computer-science and related others by exploring similar questions and additional content below.
Recommended textbooks for you
Database System Concepts
Database System Concepts
Computer Science
ISBN:
9780078022159
Author:
Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:
McGraw-Hill Education
Starting Out with Python (4th Edition)
Starting Out with Python (4th Edition)
Computer Science
ISBN:
9780134444321
Author:
Tony Gaddis
Publisher:
PEARSON
Digital Fundamentals (11th Edition)
Digital Fundamentals (11th Edition)
Computer Science
ISBN:
9780132737968
Author:
Thomas L. Floyd
Publisher:
PEARSON
C How to Program (8th Edition)
C How to Program (8th Edition)
Computer Science
ISBN:
9780133976892
Author:
Paul J. Deitel, Harvey Deitel
Publisher:
PEARSON
Database Systems: Design, Implementation, & Manag…
Database Systems: Design, Implementation, & Manag…
Computer Science
ISBN:
9781337627900
Author:
Carlos Coronel, Steven Morris
Publisher:
Cengage Learning
Programmable Logic Controllers
Programmable Logic Controllers
Computer Science
ISBN:
9780073373843
Author:
Frank D. Petruzella
Publisher:
McGraw-Hill Education